2549667456 has 480 divisors, whose sum is σ = 9345362400. Its totient is φ = 674085888.

The previous prime is 2549667433. The next prime is 2549667467. The reversal of 2549667456 is 6547669452.

2549667456 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 59294571 + ... + 59294613.

It is an arithmetic number, because the mean of its divisors is an integer number (19469505).

Almost surely, 2^2549667456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2549667456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4672681200).

2549667456 is an abundant number, since it is smaller than the sum of its proper divisors (6795694944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2549667456 is an equidigital number, since it uses as much as digits as its factorization.

2549667456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 74 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The square root of 2549667456 is about 50494.2319082091. The cubic root of 2549667456 is about 1366.1378171407.

The spelling of 2549667456 in words is "two billion, five hundred forty-nine million, six hundred sixty-seven thousand, four hundred fifty-six".